An elongate rail pad (20) for providing continuous support of a rail has a top face (201) and a bottom face (201), wherein the top face (201) is formed with a plurality of spaced apart longitudinal grooves (201). A longitudinal seal (23) against water and dirt is provided on the top face (201) at each lateral end (204). The seal (23) comprises, when considered from the lateral end, a successive arrangement of a first longitudinal lip (231), a first longitudinal channel (233), a second longitudinal lip (232), and a second longitudinal channel (234), in that order, wherein the first lip (231) projects above the top face (201), and the first and second channels (233,234) have a cross sectional size large enough to allow, in use, water that oozes in to flow throughout the channel, and the thickness (T2) of the second lip (232) is smaller than the spacing (W) between the second channel (234) and an adjacent first groove.